A level maths intermediate mechanics, Exercises of Mathematics

A level maths intermediate mechanics

Typology: Exercises

2025/2026

Uploaded on 06/10/2026

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Questions
1. A particle accelerates at
4
m s
โˆ’2
from rest for 8 s. Find its final
velocity.
2. Find the resultant force acting on a 6 kg mass accelerating at
5
m s
โˆ’2
.
3. A particle has displacement:
s
=3
t
2+2
t
Find its velocity.
4. Using your answer to Q3, find the velocity when
t
=4
.
5. A car travels at
25
m s
โˆ’1
and brakes uniformly to
5
m s
โˆ’1
in 4 s.
Find its acceleration.
6. A 4 kg mass moves at
12
m s
โˆ’1
. Find its momentum.
7. State Newton's Second Law.
8. A particle starts from rest and accelerates at
2
m s
โˆ’2
for 10 s. Find
the distance travelled.
9. A force of 84 N acts on a body producing acceleration
7
m s
โˆ’2
. Find
the mass.
10. A particle moves with velocity:
v
=2
t
2+3
Find its acceleration when
.
Answers
1.
32
m s
โˆ’1
2. 30 N
3.
v
=6
t
+2
4.
26
m s
โˆ’1
5.
โˆ’5
m s
โˆ’2
6.
48
kg m s
โˆ’1
7. Resultant force = mass ร— acceleration.
8. 100 m
9. 12 kg
10.
20
m s
โˆ’2

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Questions

1. A particle accelerates at 4 m s โˆ’^2 from rest for 8 s. Find its final

velocity.

  1. Find the resultant force acting on a 6 kg mass accelerating at

5 m s

  1. A particle has displacement:

s = 3 t

2

+ 2 t

Find its velocity.

4. Using your answer to Q3, find the velocity when t = 4.

5. A car travels at 25 m s โˆ’^1 and brakes uniformly to 5 m s โˆ’^1 in 4 s.

Find its acceleration.

6. A 4 kg mass moves at 12 m s โˆ’^1. Find its momentum.

  1. State Newton's Second Law.

8. A particle starts from rest and accelerates at 2 m s

โˆ’ 2 for 10 s. Find the distance travelled.

9. A force of 84 N acts on a body producing acceleration 7 m s โˆ’^2. Find

the mass.

  1. A particle moves with velocity:

v = 2 t

2

  • 3

Find its acceleration when t = 5.

Answers

1. 32 m s โˆ’^1

2. 30 N

3. v = 6 t + 2

4. 26 m s โˆ’^1

5. โˆ’ 5 m s โˆ’^2

6. 48 kg m s โˆ’^1

  1. Resultant force = mass ร— acceleration.
  2. 100 m
  3. 12 kg

10. 20 m s

โˆ’ 2